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In this paper we consider the class of lambda-nondeterministic linear automata as a model of the class of linear languages. As usual in other automata models, lambda-moves do not increase the acceptance power. The main contribution of this…

Formal Languages and Automata Theory · Computer Science 2016-12-01 Benjamín Bedregal

In automata theory, while determinisation provides a standard route to solving many common problems in automata theory, some weak forms of nondeterminism can be dealt with in some problems without costly determinisation. For example, the…

Formal Languages and Automata Theory · Computer Science 2026-05-29 Thomas A. Henzinger , Keya Prakash , K. S. Thejaswini

We present an Angluin-style algorithm to learn nominal automata, which are acceptors of languages over infinite (structured) alphabets. The abstract approach we take allows us to seamlessly extend known variations of the algorithm to this…

Formal Languages and Automata Theory · Computer Science 2018-12-18 Joshua Moerman , Matteo Sammartino , Alexandra Silva , Bartek Klin , Michał Szynwelski

Tree automata based algorithms are essential in many fields in computer science such as verification, specification, program analysis. They become also essential for databases with the development of standards such as XML. In this paper, we…

Computational Complexity · Computer Science 2007-05-23 J. Carme , R. Gilleron , A. Lemay , A. Terlutte , M. Tommasi

Nominal set plays a central role in a group-theoretic extension of finite automata to those over an infinite set of data values. Moerman et al. proposed an active learning algorithm for nominal word automata with the equality symmetry. In…

Formal Languages and Automata Theory · Computer Science 2022-08-18 R. Nakanishi , Y. Takata , H. Seki

History-deterministic automata are those in which nondeterministic choices can be correctly resolved stepwise: there is a strategy to select a continuation of a run given the next input letter so that if the overall input word admits some…

Formal Languages and Automata Theory · Computer Science 2026-04-01 Soumyajit Paul , David Purser , Sven Schewe , Qiyi Tang , Patrick Totzke , Di-De Yen

Students find their first course in Formal Languages and Automata Theory challenging. In addition to the development of formal arguments, most students struggle to understand nondeterministic computation models. In part, the struggle stems…

Programming Languages · Computer Science 2023-10-24 Oliwia Kempinski , Marco T. Morazán

We propose a query learning algorithm for residual symbolic finite automata (RSFAs). Symbolic finite automata (SFAs) are finite automata whose transitions are labeled by predicates over a Boolean algebra, in which a big collection of…

Formal Languages and Automata Theory · Computer Science 2019-09-18 Kaizaburo Chubachi , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

We define a class of languages of infinite words over infinite alphabets, and the corresponding automata. The automata used for recognition are a generalisation of deterministic Muller automata to the setting of nominal sets. Remarkably,…

Formal Languages and Automata Theory · Computer Science 2013-10-16 Vincenzo Ciancia , Matteo Sammartino

Reversible forms of computations are often interesting from an energy efficiency point of view. When the computation device in question is an automaton, it is known that the minimal reversible automaton recognizing a given language is not…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Kitti Gelle , Szabolcs Iván

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

The deterministic membership problem for timed automata asks whether the timed language recognised by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. We show that the problem is decidable when the…

Formal Languages and Automata Theory · Computer Science 2020-07-21 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

Active learning of timed languages is concerned with the inference of timed automata from observed timed words. The agent can query for the membership of words in the target language, or propose a candidate model and verify its equivalence…

Logic in Computer Science · Computer Science 2020-07-09 Léo Henry , Nicolas Markey , Thierry Jéron

Many methods for the verification of complex computer systems require the existence of a tractable mathematical abstraction of the system, often in the form of an automaton. In reality, however, such a model is hard to come up with, in…

Formal Languages and Automata Theory · Computer Science 2023-08-09 Stefan Zetzsche

Data trees serve as an abstraction of structured data, such as XML documents. A number of specification formalisms for languages of data trees have been developed, many of them adhering to the paradigm of register automata, which is based…

Formal Languages and Automata Theory · Computer Science 2024-07-12 Simon Prucker , Lutz Schröder

Infinite words over infinite alphabets serve as models of the temporal development of the allocation and (re-)use of resources over linear time. We approach omega-languages over infinite alphabets in the setting of nominal sets, and study…

Formal Languages and Automata Theory · Computer Science 2021-07-13 Henning Urbat , Daniel Hausmann , Stefan Milius , Lutz Schröder

We introduce session automata, an automata model to process data words, i.e., words over an infinite alphabet. Session automata support the notion of fresh data values, which are well suited for modeling protocols in which sessions using…

Logic in Computer Science · Computer Science 2015-07-01 Benedikt Bollig , Peter Habermehl , Martin Leucker , Benjamin Monmege

This work studies the question of learning probabilistic deterministic automata from language models. For this purpose, it focuses on analyzing the relations defined on algebraic structures over strings by equivalences and similarities on…

Formal Languages and Automata Theory · Computer Science 2024-12-16 Matías Carrasco , Franz Mayr , Sergio Yovine

We investigate a learning algorithm in the context of nominal automata, an extension of classical automata to alphabets featuring names. This class of automata captures nominal regular languages; analogously to the classical language…

Formal Languages and Automata Theory · Computer Science 2019-09-16 Yi Xiao , Emilio Tuosto

We explore language semantics for automata combining probabilistic and nondeterministic behavior. We first show that there are precisely two natural semantics for probabilistic automata with nondeterminism. For both choices, we show that…

Formal Languages and Automata Theory · Computer Science 2018-05-30 Gerco van Heerdt , Justin Hsu , Joël Ouaknine , Alexandra Silva
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